[tex]{ \huge{ \mathfrak{ \red{Kuis}}}}[/tex][tex]bentuk \: sederhana \: dari \: \frac{2}{3 + \sqrt{5.... Question from @WibuElite3420

July 2022 2 25 Report

[tex]{ \huge{ \mathfrak{ \red{Kuis}}}}[/tex]

[tex]bentuk \: sederhana \: dari \: \frac{2}{3 + \sqrt{5} } adalah...[/tex]
[tex]a. \: \frac{6 + \sqrt{5} }{4} [/tex]
[tex]b. \: \frac{ 6 - \sqrt{5} }{4} [/tex]
[tex]c. \: \frac{3 - 2 \sqrt{5} }{2} [/tex]
[tex]d. \: \frac{3 - \sqrt{5} }{2} [/tex]
[tex] e. \: \frac{3 + \sqrt{5} }{2} [/tex]

jawaban pertama = beA
jawaban benar = beA

XxDarknessxX

$\frac{2}{3 + \sqrt{5} }$

$\frac{2}{3 + \sqrt{5} } \times \frac{3 - \sqrt{5} }{3 - \sqrt{5} }$

$\frac{2(3 - \sqrt{5}) }{3 + \sqrt{5} (3 - \sqrt{5}) }$

$\frac{6 - 2\sqrt{5} }{3(3 - \sqrt{5}) + \sqrt{5} (3 - \sqrt{5}) }$

$\frac{6 - 2\sqrt{5} }{9 - 3 \sqrt{5} + 3 \sqrt{5} - \sqrt{25} }$

$\frac{6 - 2\sqrt{5} }{9 - 0 - 5}$

$\frac{6 - 2\sqrt{5} }{9 - 5}$

$\frac{ (6 \div 2) - (2 \div 2) \times \sqrt{5} }{4 \div 2}$

$\frac{ (3) - (1) \times \sqrt{5} }{2}$

$\frac{ (3) - \sqrt{5} }{2}$

$\purple{\boxed{\green{\boxed{\red{\tt{\ \: \red{{ ༻ シ︎XxDAЯКNESSxXツ ༺ }}}}}}}}$

3 votes Thanks 2

WibuElite3420 makasih om

Eutopya

Jawaban:

$\bf \: d. \: \frac{3 - \sqrt{5} }{2}$

Penjelasan dengan langkah-langkah:

$\frac{2}{3 + \sqrt{5} } \\ \\ = \frac{2}{3 + \sqrt{5} } \times \frac{3 - \sqrt{5} }{3 - \sqrt{5} } \\ \\ = \frac{2(3 - \sqrt{5})}{(3 + \sqrt{5})(3 - \sqrt{5})} \\ \\ = \frac{6 - 2 \sqrt{5} }{9 \cancel{ - 3 \sqrt{5} + 3 \sqrt{5}} - 5 } \\ \\ = \frac{6 - 2 \sqrt{5} }{9 - 5} \\ \\ = \frac{ \not6 {}^{3} - \not2 \sqrt{5} }{ \not4 {}^{2} } \\ \\ = \frac{3 - \sqrt{5} }{2}$

2 votes Thanks 2

About Us

Life Enjoy

" Life is not a problem to be solved but a reality to be experienced! "

Recommend Questions

Life Enjoy

Get in touch

Social